Contact interaction of deformable continuous media of various physical nature

Kazan Federal University, N.I. Lobachevsky Institute of Mathematics and Mechanics, Kremlevskaya 18, 420008 Kazan, Russia

^* Corresponding author: e_xo@mail.ru

Abstract

An approach is proposed for modeling the contact interaction processes of reinforcement bundles with concrete, as well as for underground elements of foundations and buildings reinforced foundations by compensatory injection with adjacent soil. A special contact finite element of a continuous medium with specific properties has been constructed which makes it possible to simulate the elastic interaction of two contacting surfaces their displacement relative to each other and separation. The developed algorithm allows within the framework of a single finite element method, to calculate the joint deformation of the elements of metal reinforcing elements, concrete and “weak” soils. The proposed calculation methods are implemented within the consistent equations framework of a geometrically nonlinear three-dimensional elasticity theory. On the basis of the proposed methods, the problem of "pulling out" a steel reinforcement bar from a concrete block was solved, a comparison was made with experimental data and with the results obtained in publicly available application software packages, a good agreement was noted.